This calligraphy is by Mirza Muhammad Sultan Fath al-Mulk Shahi, son of the last Mughal ruler, Bahadur Shah II.
Category: Evolution of Calligraphy in India
Period: (1800-1899) Pre-Independence
References: https://blogs.bl.uk/asian-and-african/2013/02/a-19th-century-album-of-imperial-calligraphy.html
This calligraphy is by Mirza Muhammad Sultan Fath al-Mulk Shahi, son of the last Mughal ruler, Bahadur Shah II.